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Theorem ex-modeq-half

0 < j ∧ odd(j) ⊦ ∃ i. ≡mod(i, i0, j) ∧ abs(i) ≤ j / 2

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: ex-modeq-half-all,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 19
Proof steps: 33
Used lemmas: mod-neg-def, mod-pos-def, mod-le-same, mod-mod, congmod-def-mod,
Used spec theorems:
Used simplifier rules: